Final answer:
To compute C(n), you can use a recursive algorithm. The recurrence relation for this algorithm is C(n) = C(n-1) + n³, and the time complexity is O(n).
Step-by-step explanation:
To compute C(n), you can use a recursive algorithm. Here is an example:
- If n equals 0, return 0 as the base case.
- Otherwise, recursively compute C(n-1) and add n cubed to it.
The recurrence relation for this algorithm is C(n) = C(n-1) + n³.
The time complexity of this algorithm is O(n), as each recursive call takes constant time.